Which of the following is equivalent to 5(loga+logb)– 2logc- O A logy abc? Vab log- В. OD. ab?

Q: 10

A: Given logarithm expression is

Q: Determine whether the statement, logb(x3 + y3) = 3 logb x + 3 logb y is true or false. If the…

A: From the right side of the expression we get

Q: 3. Rewrite the following expressions in exponential or logarithmic form, the opposite of what is…

A: Given:  C )  logx23=57      Log to exponential form:       logab=c then          ac=b

Q: Which of the following expressions simplify to 2? Select all that apply a. log,64 b. log,14 c. log…

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Q: Expand the following expression using the properties of the logarithms. Assume x and y are positive.…

A: Consider x,y>0 . Properties of logarithm:  Product rule : ln xy=ln x+ln y Quotient rule :…

Q: Express the following sum and/or difference of logarithms logs y- 2 log, z log

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Q: Express the following log expression as a single log with a coefficient 1: -12log5^x+2log5^y=

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Q: 2. Evaluate, using the laws of logarithms. 2 log, 64 x v64* |+log, 46 43 256

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The value of 34 log, V3 is 68.0 O 136.0 O 17.0 O 0.0 O 34

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Q: Which expression shows how to write log, y² as a base 5 logarithm? Select the correct answer below:…

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Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive.…

A: that is equal to log(4b/11)=log(4b)-log(11)

Q: Which of the following is equivalent to 5 (loga+logb) – 2logc? OA logyabc OB. Vab log- OD. a?b? log

A: 1/2(loga+logb)-2logc is equivalent to?

Q: b) 좋(log(교y) - log(zy?))

A:

Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

Q: 5. Place the following logarithmic expressions in order from least to greatest. i a. log, 65 b. In10…

A: Let's find.

Q: Write the following logarithmic statements in exponential form. 1. loga(32) = · 2. log10(y) = 4 3.…

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Q: Use the properties of logarithms to write the expressions in as a single term

A: Some properties of logarithm which you will need :

Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive.…

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Q: Give the translations that transformed the parent function into ?=log5(?−10)+8

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Q: Use the properties of logarithms to approximate the following, given logb 2 ≈ 0.3563, logb 3 ≈…

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Q: Determine the expanded form of the following log expression log5(x^-7y^5/z^10)

A: We need to determine the expanded form of the following log expression log5x-7y5z10. So,…

Q: Use the properties of logarithms to write the expressions in Exercis

A: Logarithmic functions and exponential functions are considered as the inverses of each other as one…

Q: Express the following expression as an equivalent expression that is a single logarithm. 2 logbx+7…

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Q: Write the following as the sum and/or difference of logarithms. Assume all variables are 10x log 6.

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Q: Which of the following functions returns the base of a natural logarithm? Select the correct…

A: topic-logarithmic functions

Q: Which of the following is equivalent to the expression log

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Q: If VA= B, then log a B =. --

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Q: Which of the following logarithms will evaluate to -4? There are multiple correct answers. O log1…

A: Logarithm function and the exponential function are inverses of each other. This is because we have…

Q: Which expression is equivalent to log, 2?

A:

Q: Which of the following is equivalent to log36? O A. log3 + 2log2 + log2 B. 3log2 + 2log3 – log2 C.…

A: Choose the correct option.

Q: Use log, 5 = 1.161, log, 3 = 0.7925 to find an approximate value for both of the following: log4 15…

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Q: Determine whether the following statement is true or not : Log(-1+431) =2Log(-1+/ãi)

A: Proceed as shown

Q: Use the Change of Base Formula to evaluate log12 27.

A: log1227

Q: Apply the change of base formula to approximate ead value to four decimal places. a. log, 8 12.4 =…

A: Note: logcblogca=logab. For (a),     log0.812.4=log1012.4log100.8=-11.28285 For (b),…

Q: Which of the following is true? Select one: a. log48 = 2 b. log36 = 2 C. log216 = 4 С.

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Q: Written as a single logarithm, 3log,5 +log,6 – 2log,10 –log 25 is 6. O loga 25 3 O loga O loga 10 37…

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Q: 23. Which of the following expressions is equivalent to log(mn)2 ? O 2logm +logn O 2logm +2logn O…

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Q: For Exercise, use logb 2 = 0.289, logb 3 - 0.458, and logb 5 z 0.671 to approximate the value of the…

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Q: 5. State the numeric value of the following -5 log, x log, (r-x) log,

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Q: O Use the change of base formula to approximate log, 73 by using e. Round off to 4 decimal places.

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Q: Which of the following is equivalent to 2log3(b)+5log3(x)– log3(a)?

A: Given expression is 2log3b+5log3x-log3a Used log rules: 1. logxy=ylogx2. logx+logy=logxy3.…

Q: 3. Write the following as a single logarithm. 2 log, 9+3log, 2 log, (2x) + 3 log, (x) log, (x)–log,…

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Q: Use the fact that: loga (x) = -3.4, loga (y) = 4.3, and loga (z) = 6.2 to evaluate the following:…

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Q: Complete the table by finding the appropriate logarithmic or exponent Logarithmic form Exponential…

A: The answer is given below:

Q: Use the Laws of Logarithms to expand the given expression. (a) log,(s? Vt) „6, (b) log Vt 5

A:

Q: Express log 45 in terms of A, B, C, where A = log 2, B = log 3, and C = log 7. 2A B 2 A+ 2B 1 A+2B+1…

A: Given  A=log 2, B=log 3, and C=log 7 We have to express log 45 in terms of A, B, C.

Q: Assume logb x = 0.36, logb y = 0.56, and logb z = 0.83. Evaluate the following expression shown.

A: Our Aim is to evaluate the expression given below:-logbxyz-(i)

Q: What is the 2log, 5+ log; 4 written as a single logarithm? (A) log; 40 (B) log; 29 (C) log; 100 (D)…

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Q: Which of the following is equivalent to log,(hf)? O A. hlog,(f) O B. flog,(h) Oc.log2(h) x log2(f) O…

A: We know that logarithmic formula

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.